An ionization spectrometer consisting of 12 layers of tungsten each 6.13 gm cm/2 thick and 7 iron modules each 70 gm cm/2 thick was flown in a balloon at an altitude of 6 gm cm/2 for 16 hours. The distributions of the first interaction points are used to determine the mean free path of the incident particles. At energies of 20 GeV the proton m.f.p. of 140 gm cm/2 is in agreement with that of other workers. The m.f.p.'s of heavy nuclei have been determined as a function of energy up to a total energy of 1000 GeV. These results are compared with the overlap model of nucleus-nucleus collisions. For C nuclei interacting with W the overlap parameter is -2.6 x 10/13 cm. The energy dependence of this parameter is discussed.